A regression model is used to express a variable $$Y$$ as a function of another variable $$X.$$ This implies that

Flow separation in flow past a solid object is caused by

If $$'x'$$ is the distance measured from the leading edge of a flat plate, then laminar boundary layer thickness varies as

The properties of mercury at $$300K$$ are : density $$ = 13529kg/{m^3},$$ $${C_P} = 0.1393$$ $$kJ/kgK,$$ dynimic viscosity $$ = 0.1523\,\, \times \,\,{10^{ - 2}}\,\,N - s/{m^2}$$ and thermal conductivity $$=8.540$$ $$W/m$$-$$K$$. The Prandtl number of the mercury at $$300K$$ is

A copper tube of $$20$$ $$mm$$ outer diameter, $$1$$ $$mm$$ thickness and $$20$$ $$m$$ long (Thermal conducti-vity$$ = 400$$ $$W/mK$$) is carrying saturated steam at $${150^ \circ }C$$ (Convective $$HTC\,\, = \,\,150\,\,W/{m^2}K$$). The tube is exposed to an ambient temperature of $${27^ \circ }C.$$ The convective $$HTC$$ of air is $$5\,W/{m^2}K.$$ Glass wool is used for insulation (Thermal conductivity $$ = 0.075\,\,W/mK$$). If the thickness of the insulation used is $$5$$ $$mm$$ higher than the critical thickness of insulation, calculate the rate of heat lost by the steam and the rate of steam condensation in $$kg/hr$$ (The enthalpy of condensation of steam $$ = 2230\,\,kJ/kg$$)

The value of Biot number is very small (less than $$0.1$$), when

What is the value of the view factor for two inclined flat plates having common edge of equal width, and with an angle of $$20$$ degrees?

For the same inlet and outlet temperatures of hot and cold fluids, the Log mean temperature Difference $$(LMTD)$$ is

An item can be purchased for Rs.$$100.$$ The ordering cost is Rs.$$200$$ and the inventory carrying cost is $$10\% $$ of the item cost per annum. If the annual demand is 4000 units, the economic order quantity (in units) is

A project consists of three parallel paths with mean durations and variances of $$(10,4), (12,4)$$ and $$(12,9)$$ respectively. According to the standard $$PERT$$ assumptions, the distribution of the project duration is

The precedence relations and durations of jobs in a project are given below:
(a) Draw the activity-on-arc project network
(b) Determine all critical path(s) and their duration(s).
(c) What is the total float for jobs $$B$$ and $$D?$$

A regression model is used to express a variable $$Y$$ as a function of another variable $$X.$$ this implies that

Arrivals at a telephone booth are considered to be Poisson, with an average time of $$10$$ minutes between successive arrivals. The length of a phone call is distributed exponentially with mean $$3$$ minutes. The probability that an arrival does not have to wait before service is

A furniture manufacturer produces chairs and tables. The wood-working department is capable of producing $$200$$ chairs or $$100$$ tables or any proportionate combinations of these per week. The weekly demand for chairs and tables is limited to $$150$$ and $$80$$ units respectively. The profit from a chair is Rs.$$100$$ and that from a table is Rs.$$300.$$

$$(a)$$ Set up the problem as a Linear Program
$$(b)$$ Determine the optimum product mix for maximizing the profit.
$$(c)$$ What is the maximum profit?
$$(d)$$ If the profit of each table drops to Rs.200 per unit, what is the optimal mix and profit?

The supply at three sources is $$50, 40$$ and $$60$$ units respectively whilst the demand at the four destinations is $$20, 30, 10$$ and $$50$$ units. In solving this transportation problem

A static load is mounted at the center of a shaft rotating at uniform angular velocity. This shaft will be designed for

The minimum number of teeth on the pinion to operate without interference in standard full height involute teeth gear mechanism with $${20^ \circ }$$ pressure angle is

Large speed reductions (greater than $$20$$) in one stage of gear train are possible through

In blanking operation the clearance is provided on

The temperature of a carburizing flame in gas welding is _______ that of a neutral or an oxidizing flame.

Which of the following arc welding processes does not use consumable electrode

$$BUE$$ is formed while machining

A tube of $$32mm$$ outside diameter was turned on a lathe and the following data was obtained
Rake angle $$=35deg,$$
Feed rate $$=0.1mm/rev$$
Cutting force $$=2000N,$$
Cutting speed $$=15m/min$$
Length of continuous chip is one revolution $$=60mm$$

Feed force $$=800N.$$ Calculate the chip thickness, shear plane angle, velocity of chip along tool face and coefficient of friction.

A lead screw with half nuts in a lathe, free to rotate in both directions has

Trepanning is performed for

The hardness of a grinding wheel is determined by the

The time taken to drill a hole though a $$25$$ $$mm$$ thick plate with the drill rotating at $$300$$ $$rpm$$ and moving at a feed rate of $$0.25$$ $$mm$$/revolution is

Hot rolling of mild steel is carried out

Machining of complex shapes on $$CNC$$ machines requires

The primary purpose of a sprue in a casting mold is to

In centrifugal casting, the lighter impurities are

Ductility of material with work hardening

What is the speed of sound in Neon gas at a temperature of $$500$$ $$K$$ (Gas constant of Neon is $$0.4210$$ $$kJ/kg$$-$$K$$)?

A Carnot cycle is having an efficiency of $$0.75.$$ If the temperature of the high temperature reservoir is $${727^ \circ }C,$$ what is the temperature of low temperature reservoir?

The efficiency of superheat Rankine cycle is higher than that of simple Rankine cycle because